40335466453304 has 96 divisors (see below), whose sum is σ = 87508455762000. Its totient is φ = 17368579768320.

The previous prime is 40335466453277. The next prime is 40335466453307.

40335466453304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40335466453304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40335466453307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691013432 + ... + 691071800.

Almost surely, 2^{40335466453304} is an apocalyptic number.

40335466453304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40335466453304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43754227881000).

40335466453304 is an abundant number, since it is smaller than the sum of its proper divisors (47172989308696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40335466453304 is a wasteful number, since it uses less digits than its factorization.

40335466453304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95989 (or 95974 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 50.

The spelling of 40335466453304 in words is "forty trillion, three hundred thirty-five billion, four hundred sixty-six million, four hundred fifty-three thousand, three hundred four".